If you don't double check your answers by substituting them back into the original equation, you may be introducing extraneous solutions into the problem which is why you should always check to confirm your answer is accurate. I hope this helps! :)
Answer:
She wrote 9 pages per day on average
Step-by-step explanation:
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:
Monday = 9
Tuesday =8
Wednesday = 12
Thursday = 6
Friday = 10

Mean=9
Hence She wrote 9 pages per day on average
Answer:
-95.78
Step-by-step explanation:
As the researcher decided to make the number of parties attended per week the explanatory variable, this would be variable x in the regression line, and of course, the variable y would be the number of text messages sent per day.
After constructing the linear regression equation, the researcher found that an approximate value
for the actual value of y could be represented by the line
Since this is an approximate value, it is not expected that it coincides with the actual value of y. We define then the residual for each value of x as the difference between the actual value of y and the approximation for the given x.
For the value x = 2 (the student attended 2 parties that week) the actual value of y is 20 (the student sent 20 text messages per day that week).
The approximate value of y would be according to the regression line
Hence, the residual value for x=2 would be
Let's call the lengths of our two types of sides <em />

and

.
The two sides will that our 1.3 inches bigger than the third side will be have length x, and the length of the other side will be known as y. Thus,

.
Considering this, we can add our sides together and set this value equal to 8, given the information in the problem:

Now, let's solve for y.



Now, we are not done yet. We must determine the true lengths of all of our sides. Using the equation we found earlier, the length of the two bigger sides is

inches and the length of our smaller side is simply

inches.
To verify, we can add these sides together and check that they equal 8:
3.1 + 3.1 + 1.8 = 8 ✔